Least Common Multiple of 1665 and 1671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1665 and 1671 the smallest integer that is 927405 that is divisible by both numbers.

Least Common Multiple (LCM) of 1665 and 1671 is 927405.

LCM(1665,1671) = 927405

LCM of 1665 and 1671

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1665 and 1671

LCM of 1665 and 1671 is 927405

Least common multiple can be found by multiplying the highest exponent prime factors of 1665 and 1671. First we will calculate the prime factors of 1665 and 1671.

Prime Factorization of 1665


3 1665
3 555
5 185
37 37
1

Prime factors of 1665 are 3, 5,37. Prime factorization of 1665 in exponential form is:

1665 = 32×51×371

Prime Factorization of 1671


3 1671
557 557
1

Prime factors of 1671 are 3,557. Prime factorization of 1671 in exponential form is:

1671 = 31×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 1665 and 1671.

LCM(1665,1671) = 32×51×371×5571
LCM(1665,1671) = 927405

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665

Factors of 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1, 3, 557, 1671

Least Common Multiple of 1665 and 1671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1665 and 1671, than apply into the LCM equation.

GCF(1665,1671) = 3
LCM(1665,1671) = ( 1665 × 1671) / 3
LCM(1665,1671) = 2782215 / 3
LCM(1665,1671) = 927405

Properties of LCM 1665 and 1671

(i) The LCM of 1671 and 1665 is associative

LCM of 1665 and 1671 = LCM of 1671 and 1665

Related Least Common Multiples of 1665

Related Least Common Multiples of 1671

Frequently Asked Questions on LCM of 1665 and 1671

1. What is the LCM of 1665 and 1671?

Answer: LCM of 1665 and 1671 is 927405.

2. What are the Factors of 1665?

Answer: Factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665. There are 12 integers that are factors of 1665. The greatest factor of 1665 is 1665.

3. What are the Factors of 1671?

Answer: Factors of 1671 are 1, 3, 557, 1671. There are 4 integers that are factors of 1671. The greatest factor of 1671 is 1671.

4. How to Find the LCM of 1665 and 1671?

Answer:

Least Common Multiple of 1665 and 1671 = 927405

Step 1: Find the prime factorization of 1665

1665 = 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 1671

1671 = 3 x 557

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 927405 = 3 x 3 x 5 x 37 x 557

Step 4: Therefore, the least common multiple of 1665 and 1671 is 927405.